2298326400 has 240 divisors, whose sum is σ = 8482286340. Its totient is φ = 612817920.

The previous prime is 2298326377. The next prime is 2298326413. The reversal of 2298326400 is 46238922.

2298326400 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 254767 + ... + 263633.

Almost surely, 2^2298326400 is an apocalyptic number.

2298326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241143170).

2298326400 is an abundant number, since it is smaller than the sum of its proper divisors (6183959940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2298326400 is an equidigital number, since it uses as much as digits as its factorization.

2298326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2298326400 is about 47940.8635716963. The cubic root of 2298326400 is about 1319.6858756660.

The spelling of 2298326400 in words is "two billion, two hundred ninety-eight million, three hundred twenty-six thousand, four hundred".